GCD of 200, 169, 42, 135 Calculator

Given Input numbers are 200, 169, 42, 135

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 169

List of positive integer divisors of 169 that divides 169 without a remainder.

1, 13, 169

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 135

List of positive integer divisors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

Greatest Common Divisior

We found the divisors of 200, 169, 42, 135 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 200, 169, 42, 135 is 1.

Therefore, GCD of numbers 200, 169, 42, 135 is 1

Given Input Data is 200, 169, 42, 135

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

Prime Factorization of 169 is 13 x 13

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 135 is 3 x 3 x 3 x 5

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(200, 169) = 33800

GCD(200, 169) = ( 200 x 169 ) / 33800

GCD(200, 169) = 33800 / 33800

GCD(200, 169) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 42

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 42) = 42

GCD(1, 42) = ( 1 x 42 ) / 42

GCD(1, 42) = 42 / 42

GCD(1, 42) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 135

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 135) = 135

GCD(1, 135) = ( 1 x 135 ) / 135

GCD(1, 135) = 135 / 135

GCD(1, 135) = 1

GCD of 200, 169, 42, 135 is 1

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• GCD of 744, 633, 58, 942
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• GCD of 127, 820, 50, 465

1. What is the GCD of 200, 169, 42, 135?

GCD of 200, 169, 42, 135 is 1

2. Where do I get the detailed procedure to find GCD of 200, 169, 42, 135?

You can find a detailed procedure to find GCD of 200, 169, 42, 135 on our page.

3. How to find GCD of 200, 169, 42, 135 on a calculator?

You can find the GCD of 200, 169, 42, 135 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.